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Wyświetlanie 1-15 z 27
Tytuł:
The Wavefunctions and Energy Eigenvalues of the Schrodinger Equation for Different Potentials Due to the Virial Theorem
Autorzy:
Arslan, H.
Hulaguhanoglu, N.
Powiązania:
https://bibliotekanauki.pl/articles/1194111.pdf
Data publikacji:
2015-04
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
03.65.Nk
03.65.Sq
03.65.-w
83.10.Ff
Opis:
The derivation of the virial theorem is presented both in classical and quantum mechanical approach. The kinetic energy and potential energy of the mechanical energy is converted to each other due to the virial theorem. Some of the different potentials are considered. For some of these potentials, the wavefunctions and energy eigenvalues of the Schrödinger Equation are derived.
Źródło:
Acta Physica Polonica A; 2015, 127, 4; 914-916
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Scattering of Elastic Waves in a Quasi-One-Dimensional Cavity: Theory and Experiment
Autorzy:
Báez, G.
Cobián-Suárez, M.
Martínez-Argüello, A.
Martínez-Mares, M.
Méndez-Sánchez, R.
Powiązania:
https://bibliotekanauki.pl/articles/1399047.pdf
Data publikacji:
2013-12
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
46.40.Cd
62.30.+d
03.65.Nk
73.21.Fg
Opis:
We study the scattering of torsional waves through a quasi-one-dimensional cavity both from the experimental and theoretical points of view. The experiment consists of an elastic rod with square cross-section. In order to form a cavity, a notch at a certain distance of one end of the rod was grooved. To absorb the waves, at the other side of the rod, a wedge, covered by an absorbing foam, was machined. In the theoretical description, the scattering matrix S of the torsional waves was obtained. The distribution of S is given by Poisson's kernel. The theoretical predictions show an excellent agreement with the experimental results. This experiment corresponds, in quantum mechanics, to the scattering by a delta potential, in one dimension, located at a certain distance from an impenetrable wall.
Źródło:
Acta Physica Polonica A; 2013, 124, 6; 1069-1073
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fidelity in Quasi-1D Systems as a Probe for Anderson Localization
Autorzy:
Bodyfelt, J.
Zheng, M.
Kottos, T.
Kuhl, U.
Stöckmann, H.
Powiązania:
https://bibliotekanauki.pl/articles/1585120.pdf
Data publikacji:
2009-11
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
42.25.Dd
72.15.Rn
03.65.Nk
03.65.Yz
Opis:
We analyze the echo dynamics in quasi-one-dimensional random media to investigate how the transition from localization to delocalization is encoded in its temporal decay properties. Our analysis extends from the standard perturbative regime corresponding to small perturbations (with respect to the mean level spacing) in the echo dynamics, out to the Wigner decay regime. On the theoretical side, our results rely on a banded random matrix modeling, and show in the localized regime under small perturbations a novel decay of the fidelity (Loschmidt echo), differing from the typical Gaussian decay seen within both diffusive and chaotic systems. For larger perturbation strengths, typical Wigner exponential decays are observed. Scattering echo measurements are performed experimentally within a quasi-1D microwave cavity randomly populated with point-like scatterers. Agreements are observed between experiments, numerics, and theoretical predictions.
Źródło:
Acta Physica Polonica A; 2009, 116, 5; 756-764
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Approximations by Graphs and Emergence of Global Structures
Autorzy:
Exner, P.
Hejčík, P.
Šeba, P.
Powiązania:
https://bibliotekanauki.pl/articles/2044581.pdf
Data publikacji:
2006-01
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
03.65.Nk
Opis:
We study approximations of billiard systems by lattice graphs. It is demonstrated that under natural assumptions the graph wave functions approximate solutions of the Schrödinger equation with energy rescaled by the billiard dimension. As an example, we analyze a Sinai billiard with attached leads. The results illustrate emergence of global structures in large quantum graphs and offer interesting comparisons with patterns observed in complex networks of a different nature.
Źródło:
Acta Physica Polonica A; 2006, 109, 1; 23-31
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Chaotic Scattering: Exact Results and Microwave Experiments
Autorzy:
Guhr, T.
Powiązania:
https://bibliotekanauki.pl/articles/1190089.pdf
Data publikacji:
2015-12
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
05.45.Mt
03.65.Nk
24.60.Dr
Opis:
Scattering experiments are indispensable for the study of classical and quantum systems. In the Heidelberg approach, universal features are addressed by assuming that the reaction zone is fully quantum chaotic. Although it stems from nuclear physics, it later on turned out to be applicable to a large variety of systems on different scales, including classical wave systems. For a long time, the distribution of the off-diagonal scattering-matrix elements resisted analytical treatment. I review two recent studies in which my collaborators and I fully solved this problem. We also carried out a comparison with data from microwave experiments.
Źródło:
Acta Physica Polonica A; 2015, 128, 6; 963-967
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Semi-Relativistic Scattering States of the Hulthén and Hyperbolic-Type Potentials
Autorzy:
Hassanabadi, H.
Yazarloo, B.
Hassanabadi, S.
Zarrinkamar, S.
Powiązania:
https://bibliotekanauki.pl/articles/1399494.pdf
Data publikacji:
2013-07
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
03.65.Pm
03.65.Nk
Opis:
In this paper, the scattering states of the spinless-Salpeter equation are investigated for Hulthén and hyperbolic-type potentials for any arbitrary l-state. Approximate analytical formulae of the wave functions and the scattering phase shifts are reported.
Źródło:
Acta Physica Polonica A; 2013, 124, 1; 20-22
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Aspects of the Scattering and Impedance Properties of Chaotic Microwave Cavities
Autorzy:
Hemmady, S.
Zheng, X.
Antonsen, T.
Ott, E.
Anlage, S. M.
Powiązania:
https://bibliotekanauki.pl/articles/2044605.pdf
Data publikacji:
2006-01
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
05.45.Mt
03.65.Nk
11.55.-m
03.50.De
84.40.-x
84.40.Az
Opis:
We consider the statistics of the impedance Z of a chaotic microwave cavity coupled to a single port. We remove the non-universal effects of the coupling from the experimental Z data using the radiation impedance obtained directly from the experiments. We thus obtain the normalized impedance whose probability density function is predicted to be universal in that it depends only on the loss (quality factor) of the cavity. We find that impedance fluctuations decrease with increasing loss. The results apply to scattering measurements on any wave chaotic system.
Źródło:
Acta Physica Polonica A; 2006, 109, 1; 65-71
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Experimental Investigation of Reflection Coefficient and Wigners Reaction Matrix for Microwave Graphs
Autorzy:
Hul, O.
Bauch, S.
Ławniczak, M.
Sirko, L.
Powiązania:
https://bibliotekanauki.pl/articles/2047825.pdf
Data publikacji:
2007-10
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
05.45.Mt
03.65.Nk
Opis:
We present the results of experimental study of the distribution P(R) of the reflection coefficient R and the distributions of Wigner's reaction K matrix for irregular, tetrahedral microwave graphs (networks) in the presence of absorption. Our experimental results are in good agreement with the exact theoretical predictions of Savin et al.
Źródło:
Acta Physica Polonica A; 2007, 112, 4; 655-664
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Persistent Currents and Bethe Ansatz
Autorzy:
Kiršanskas, G.
Matulis, A.
Powiązania:
https://bibliotekanauki.pl/articles/1505510.pdf
Data publikacji:
2011-02
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
73.40.Gk
03.65.Nk
Opis:
The system of two electrons interacting with a single impurity in 1D metallic ring is considered illustrating the applicability of the Bethe Ansatz.
Źródło:
Acta Physica Polonica A; 2011, 119, 2; 158-160
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Inverse Problems for Quantum Graphs: Recent Developments and Perspectives
Autorzy:
Kurasov, P.
Powiązania:
https://bibliotekanauki.pl/articles/1492443.pdf
Data publikacji:
2011-12
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
03.65.Nk
73.63.-b
85.35.-p
Opis:
An introduction into the area of inverse problems for the Schrödinger operators on metric graphs is given. The case of metric finite trees is treated in detail with the focus on matching conditions. For graphs with loops we show that for almost all matching conditions the potential on the loop is not determined uniquely by the Titchmarsh-Weyl function. The class of all admissible potentials is characterized.
Źródło:
Acta Physica Polonica A; 2011, 120, 6A; A-132-A-141
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the Inverse Problem for Quantum Graphs with One Cycle
Autorzy:
Kurasov, P.
Powiązania:
https://bibliotekanauki.pl/articles/1585121.pdf
Data publikacji:
2009-11
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
03.65.Nk
73.63.-b
85.35.-p
Opis:
Quantum graphs having one cycle are considered. It is shown that if the cycle contains at least three vertices, then the potential on the graph can be uniquely reconstructed from the corresponding Titchmarsh-Weyl function (Dirichlet-to-Neumann map) associated with graph's boundary, provided certain non-resonant conditions are satisfied.
Źródło:
Acta Physica Polonica A; 2009, 116, 5; 765-771
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the Spectral Gap for Laplacians on Metric Graphs
Autorzy:
Kurasov, P.
Powiązania:
https://bibliotekanauki.pl/articles/1399045.pdf
Data publikacji:
2013-12
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
03.65.Nk
73.63.-b
85.35.-p
Opis:
We discuss lower and upper estimates for the spectral gap of the Laplace operator on a finite compact connected metric graph. It is shown that the best lower estimate is given by the spectral gap for the interval with the same total length as the original graph. An explicit upper estimate is given by generalizing Cheeger's approach developed originally for Riemannian manifolds.
Źródło:
Acta Physica Polonica A; 2013, 124, 6; 1060-1062
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Experimental and Numerical Studies of One-Dimensional and Three-Dimensional Chaotic Open Systems
Autorzy:
Ławniczak, M.
Hul, O.
Bauch, Sz.
Sirko, L.
Powiązania:
https://bibliotekanauki.pl/articles/1585119.pdf
Data publikacji:
2009-11
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
05.45.Mt
03.65.Nk
Opis:
We present the results of experimental studies of microwave irregular networks and a three-dimensional microwave rough cavity in the presence of absorption. Microwave networks are also analyzed numerically. Microwave networks simulate one-dimensional quantum graphs. The networks consist of coaxial cables connected by joints and attenuators to control absorption. Three-dimensional microwave rough cavities have no formal analog in quantum 3D systems. However, some statistical properties of their spectra such as the level spacing distribution confirms that they belong to the wave-chaotic systems. Absorption of the cavity was changed by using a foam microwave absorber.
Źródło:
Acta Physica Polonica A; 2009, 116, 5; 749-755
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Experimental Determination of the Autocorrelation Function of Level Velocities for Microwave Networks Simulating Quantum Graphs
Autorzy:
Ławniczak, M.
Borkowska, A.
Hul, O.
Bauch, S.
Sirko, L.
Powiązania:
https://bibliotekanauki.pl/articles/1492514.pdf
Data publikacji:
2011-12
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
05.45.Mt
03.65.Nk
Opis:
The autocorrelation function c(x) of level velocities is studied experimentally. The measurements were performed for microwave networks simulating quantum graphs. One and two ports measurements of the scattering matrix Ŝ necessary for determining c(x) were realized for the networks possessing 5 and 6 vertices, respectively. The network with six vertices was fully connected. In the case of the networks with five vertices, additionally to the fully connected configuration, we measured the networks without the bond connecting input/output vertices. The obtained experimental results besides the autocorrelation function of level velocities, also the nearest-neighbor spacing distribution and parametric velocities distribution are compared to the predictions of random matrix theory and numerical results.
Źródło:
Acta Physica Polonica A; 2011, 120, 6A; A-185-A-190
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Isoscattering Microwave Networks - The Role of the Boundary Conditions
Autorzy:
Ławniczak, M.
Bauch, S.
Sawicki, A.
Kuś, M.
Sirko, L.
Powiązania:
https://bibliotekanauki.pl/articles/1399050.pdf
Data publikacji:
2013-12
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
03.65.Nk
05.45.Ac
Opis:
The recent paper by Hul et al. (Phys. Rev. Lett. 109, 040402 (2012)}, see Ref. [7]) addresses an important mathematical problem whether scattering properties of wave systems are uniquely connected to their shapes? The analysis of the isoscattering microwave networks presented in this paper indicates a negative answer to this question. In this paper the sensitivity of the spectral properties of the networks to boundary conditions is tested. We show that the choice of the proper boundary conditions is extremely important in the construction of the isoscattering networks.
Źródło:
Acta Physica Polonica A; 2013, 124, 6; 1078-1081
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 27

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